Finite Group Databasebeta

D59×#2960 #29453048

order15104
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD59×#2960

Splittings

FittingC59×#2960 ⋊ C2
SylowC59 ⋊ C2×#2960

Subgroups

subgroupG/H
centerC2×C8C23×D59
commutator, socleC22×C59C24×C4
FrattiniC2×C4C24×D59
FittingC59×#2960C2
prime radicalC23×D59C22×C4
cosocleC2×C4×C59C25
hypercenter#2960D59
hypocenterC59C2×#2960
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C8 ◁ #2960

1982 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

1736 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 1033927);